1606838480 has 120 divisors (see below), whose sum is σ = 4076527032. Its totient is φ = 588736512.

The previous prime is 1606838449. The next prime is 1606838543. The reversal of 1606838480 is 848386061.

It can be written as a sum of positive squares in 12 ways, for example, as 988222096 + 618616384 = 31436^2 + 24872^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2122262 + ... + 2123018.

Almost surely, 2^1606838480 is an apocalyptic number.

1606838480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1606838480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038263516).

1606838480 is an abundant number, since it is smaller than the sum of its proper divisors (2469688552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1606838480 is a wasteful number, since it uses less digits than its factorization.

1606838480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 1606838480 is about 40085.3898571537. The cubic root of 1606838480 is about 1171.2710466633.

The spelling of 1606838480 in words is "one billion, six hundred six million, eight hundred thirty-eight thousand, four hundred eighty".